Subjects -> MATHEMATICS (Total: 1013 journals)
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MATHEMATICS (714 journals)            First | 1 2 3 4     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 6)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 5)
Journal of Mathematical Finance     Open Access   (Followers: 6)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 6)
Journal of Mathematics and Statistics Studies     Open Access  
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 1)
Journal of Mathematics Education at Teachers College     Open Access   (Followers: 4)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access  
Journal of Metallurgy     Open Access   (Followers: 8)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access   (Followers: 1)
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 15)
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 2)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access   (Followers: 1)
Journal of Optimization     Open Access   (Followers: 5)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Progressive Research in Mathematics     Open Access   (Followers: 1)
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 3)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 19)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 2)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the Indian Mathematical Society     Hybrid Journal  
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Journal of the Nigerian Mathematical Society     Open Access  
Journal of Theoretical and Applied Physics     Open Access   (Followers: 9)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 10)
Journal of Turbulence     Hybrid Journal   (Followers: 7)
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 8)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 4)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access  
JURING (Journal for Research in Mathematics Learning)     Open Access  
Jurnal Didactical Mathematics     Open Access   (Followers: 4)
Jurnal Matematika     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access  
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access  
Le Matematiche     Open Access  
Lettera Matematica     Hybrid Journal  
Lietuvos Matematikos Rinkinys     Open Access  
Limits : Journal of Mathematics and Its Applications     Open Access  
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 22)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 7)
Lithuanian Mathematical Journal     Hybrid Journal  
Lobachevskii Journal of Mathematics     Open Access  
Logic Journal of the IGPL     Hybrid Journal   (Followers: 1)
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal   (Followers: 1)
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 1)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Mathematica Scandinavica     Full-text available via subscription   (Followers: 1)
Mathematical Analysis and its Contemporary Applications     Open Access   (Followers: 1)
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 4)
Mathematical Journal of Interdisciplinary Sciences     Open Access   (Followers: 1)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling of Natural Phenomena     Open Access   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 1)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 2)
Mathematical Programming Computation     Hybrid Journal   (Followers: 2)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 6)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 4)
Mathematics and Statistics     Open Access   (Followers: 2)
Mathematics Education Forum Chitwan     Open Access   (Followers: 1)
Mathematics Education Journal     Open Access   (Followers: 4)
Mathematics Education Research Journal     Partially Free   (Followers: 16)
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics Teacher: Learning and Teaching PK-12     Full-text available via subscription   (Followers: 9)
Mathematics Teaching in the Middle School     Full-text available via subscription   (Followers: 8)
Mathematische Annalen     Hybrid Journal   (Followers: 2)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 2)
MATICS     Open Access  
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal   (Followers: 1)
Metascience     Hybrid Journal   (Followers: 1)
Metrology and Instruments / Метрологія та прилади     Open Access  
Milan Journal of Mathematics     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal   (Followers: 1)
Modelling in Civil and Environmental Engineering     Open Access   (Followers: 4)
MONA : Matematik- og Naturfagsdidaktik     Hybrid Journal  
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access  
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 2)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 4)
Nagoya Mathematical Journal     Hybrid Journal   (Followers: 1)
Nano Research     Hybrid Journal   (Followers: 4)
Nanotechnologies in Russia     Hybrid Journal  
Natural Resource Modeling     Hybrid Journal  
New Mathematics and Natural Computation     Hybrid Journal   (Followers: 1)
Nonlinear Analysis     Hybrid Journal   (Followers: 1)
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
North Carolina Journal of Mathematics and Statistics     Open Access  
Note di Matematica     Open Access  
NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin     Hybrid Journal   (Followers: 3)
Numeracy : Advancing Education in Quantitative Literacy     Open Access   (Followers: 1)
Numerical Analysis and Applications     Hybrid Journal   (Followers: 1)
Numerical Functional Analysis and Optimization     Hybrid Journal   (Followers: 3)
Numerical Linear Algebra with Applications     Hybrid Journal   (Followers: 7)
Numerische Mathematik     Hybrid Journal  
Open Journal of Discrete Mathematics     Open Access   (Followers: 3)
Open Journal of Modelling and Simulation     Open Access   (Followers: 2)
Operations Research Letters     Hybrid Journal   (Followers: 11)
Optimization Letters     Hybrid Journal   (Followers: 2)
Optimization Methods and Software     Hybrid Journal   (Followers: 6)
Opuscula Mathematica     Open Access  
Order     Hybrid Journal  
ORiON     Open Access  
P-Adic Numbers, Ultrametric Analysis, and Applications     Hybrid Journal  
PAMM : Proceedings in Applied Mathematics and Mechanics     Free  
Parallel Processing Letters     Hybrid Journal   (Followers: 3)
Peking Mathematical Journal     Hybrid Journal  
Periodica Mathematica Hungarica     Full-text available via subscription   (Followers: 1)
Petroleum Science     Open Access  
Philosophia Mathematica     Hybrid Journal   (Followers: 1)
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 9)
PNA. Revista de Investigación en Didáctica de la Matemática     Open Access  
Polar Science     Hybrid Journal   (Followers: 3)
Positivity     Hybrid Journal  
Press Start     Open Access   (Followers: 1)
Prime Number     Full-text available via subscription  
Probability in the Engineering and Informational Sciences     Hybrid Journal   (Followers: 1)
Problemy Peredachi Informatsii     Full-text available via subscription  
Proceedings - Mathematical Sciences     Open Access   (Followers: 5)
Proceedings of the American Mathematical Society, Series B     Open Access   (Followers: 3)
Proceedings of the Edinburgh Mathematical Society     Hybrid Journal  
Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics     Hybrid Journal   (Followers: 2)
Proceedings of the Latvian Academy of Sciences. Section B: Natural, Exact and Applied Sciences     Open Access   (Followers: 1)
Proceedings of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences     Full-text available via subscription   (Followers: 6)
Proceedings of the Royal Society of Edinburgh Section A Mathematics     Full-text available via subscription  
Proceedings of the Steklov Institute of Mathematics     Hybrid Journal  
Progress in Photovoltaics: Research & Applications     Hybrid Journal   (Followers: 6)
Proyecciones : Revista de Matematica     Open Access   (Followers: 1)
Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres     Open Access  
Publications Mathématiques de L'IHÉS     Hybrid Journal   (Followers: 3)
Punjab University Journal of Mathematics     Open Access   (Followers: 2)
Pure Mathematics and Applications     Open Access  
Pythagoras     Open Access  
Quaestiones Mathematicae     Hybrid Journal  
Qualitative Theory of Dynamical Systems     Hybrid Journal  
Quantum Studies : Mathematics and Foundations     Hybrid Journal   (Followers: 2)
Quarterly Journal of Mathematics     Hybrid Journal  
Rare Metals     Hybrid Journal   (Followers: 2)
Recreational Mathematics Magazine     Open Access  
REDIMAT : Journal of Research in Mathematics Education     Open Access   (Followers: 6)
REMAT : Revista Eletrônica da Matemática     Open Access  
Rendiconti del Circolo Matematico di Palermo     Hybrid Journal  
Reportes Científicos de la FaCEN     Open Access  
Research in Mathematics Education     Hybrid Journal   (Followers: 13)
Research in Nondestructive Evaluation     Hybrid Journal   (Followers: 7)
Research in Number Theory     Hybrid Journal  
Research in the Mathematical Sciences     Open Access  
Research Journal of Pure Algebra     Open Access   (Followers: 1)
Researches in Mathematics     Open Access  
Results in Control and Optimization     Open Access  

  First | 1 2 3 4     

Similar Journals
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Proceedings - Mathematical Sciences
Journal Prestige (SJR): 0.252
Number of Followers: 5  

  This is an Open Access Journal Open Access journal
ISSN (Print) 0253-4142 - ISSN (Online) 0973-7685
Published by Springer-Verlag Homepage  [2469 journals]
  • Chen–Ruan cohomology and moduli spaces of parabolic bundles over a
           Riemann surface

    • Abstract: Abstract Let \((X,\,D)\) be an m-pointed compact Riemann surface of genus at least 2. For each \(x \,\in \, D\) , fix full flag and concentrated weight system \(\alpha \) . Let \(P \mathcal {M}_{\xi }\) denote the moduli space of semi-stable parabolic vector bundles of rank r and determinant \(\xi \) over X with weight system \(\alpha \) , where r is a prime number and \(\xi \) is a holomorphic line bundle over X of degree d which is not a multiple of r. We compute the Chen–Ruan cohomology of the orbifold for the action on \(P \mathcal {M}_{\xi }\) of the group of r-torsion points in \(\mathrm{Pic}^0(X)\) .
      PubDate: 2022-05-17
       
  • Strongly contracting geodesics in a tree of spaces

    • Abstract: Abstract Let X be a tree of proper geodesic spaces with edge spaces strongly contracting and uniformly separated from each other by a number depending on the contraction function of edge spaces. Then we prove that the strongly contracting geodesics in vertex spaces are quasiconvex in X. We further prove that in X if all the vertex spaces are uniformly hyperbolic metric spaces, then X is a hyperbolic metric space and vertex spaces are quasiconvex in X.
      PubDate: 2022-05-11
       
  • Topological differences at infinity for nonlinear problems related to the
           fractional Laplacian

    • Abstract: Abstract In this paper, we are interested in the fractional Yamabe-type equation \(A_s u= u^\frac{n+2s}{n-2s}\) , \({u>0} \text{ in } \Omega \text{ and } u=0 \text{ on } \partial \Omega .\) Here \(\Omega \) is a regular bounded domain of \({\mathbb {R}}^n, n\ge 2\) and \(A_s, s\in (0, 1)\) represents the fractional Laplacian operator in \(\Omega \) with zero Dirichlet boundary condition. Based on the theory of critical points at infinity of Bahri and the localization technique of Caffarelli and Silvestre, we compute the difference of topology induced by the critical points at infinity between the level sets of the variational functional associated to the problem. Our result can be seen as a nonlocal analog of the theorem of Bahri et al. (Cal. Var. Partial. Differ. Equ. 3 (1995) 67–94) on the classical Yamabe-type equation.
      PubDate: 2022-05-11
       
  • On a problem about the connectivity of the proper enhanced power graph of
           a finite group

    • Abstract: Abstract Let G be a group with identity element e. The proper power graph and proper enhanced power graph of G, are denoted by \(\Gamma ^*_{P}(G)\) and \(\Gamma ^*_{EP}(G)\) , respectively. Also, the prime graph of G is denoted by \(\Gamma _{GK}(G)\) . In an article, Aalipour et al. (Electronic J. Combin. 24(3) (2017) 3–16) asked which groups do have the property that \(\Gamma ^*_{P}(G)\) is connected' In this paper, we show that if \(\Gamma _{GK}(G)\) is disconnected, then \(\Gamma ^*_{P}(G)\) and \(\Gamma ^*_{EP}(G)\) are disconnected. Moreover, we prove that if G is a nilpotent group which is not a p-group, then \(\Gamma ^*_{EP}(G)\) is a connected graph.
      PubDate: 2022-05-07
       
  • Torsors on semistable curves and degenerations

    • Abstract: Abstract In this paper, we answer two long-standing questions on the classification of G-torsors on curves for an almost simple, simply connected algebraic group G over the field of complex numbers. The first is the construction of a flat degeneration of the moduli of G-torsors on smooth projective curves when the smooth curve degenerates to an irreducible nodal curve and the second one is to give an intrinsic definition of (semi)stability for a G-torsor on an irreducible projective nodal curve. A generalization of the classical Bruhat–Tits group schemes to two-dimensional regular local rings and an application of the geometric formulation of the McKay correspondence provide the key tools.
      PubDate: 2022-05-07
       
  • Gow–Tamburini type generation of SL $$_{\varvec{3}}\varvec{(R)}$$ 3 ( R
           ) over the rings of integers of imaginary quadratic number fields of class
           number one

    • Abstract: Abstract A result of Hurwitz says that the special linear group of size greater than or equal to three over the ring of integers of an algebraic number field is finitely generated. A celebrated theorem in group theory states that finite simple groups are two-generated. Since the special linear group of size at least three over the ring of integers is not a finite simple group, we expect that it has more than two generators. In this paper, we provide a set of three generators for the special linear group of size three over the rings of integers of imaginary quadratic number fields of class number one. The speciality of this set of generators is that it is unbiased towards the choice of a particular simple root (from a Lie algebra point of view). This new set of generators is inspired by the work of Gow and Tamburini for the special linear group over the (ring of rational) integers.
      PubDate: 2022-04-21
       
  • An elementary proof of Lelli-Chiesa’s theorem on constancy of second
           coordinate of gonality sequence

    • Abstract: Abstract Let X be a K3 surface and L be an ample line bundle on it. In this article, we will give an alternative and elementary proof of Lelli-Chiesa’s theorem in the case of \(r= 2\) . More precisely, we will prove that under certain conditions the second co-ordinate of the gonality sequence is constant along the smooth curves in the linear system L . Using Lelli-Chiesa’s theorem for \(r \ge 3\) , we also extend Lelli-Chiesa’s theorem in the case of \(r= 2\) in weaker condition.
      PubDate: 2022-04-20
       
  • On a conjecture of Kelly on (1, 3)-representation of
           Sylvester–Gallai designs

    • Abstract: Abstract We give an exact criterion of a conjecture of L. M. Kelly to hold true which is stated as follows. If there is a finite family \(\Sigma \) of mutually skew lines in \(\mathbb {R}^d,d\ge 4\) such that the 3-flat spanned by every two lines in \(\Sigma \) , contains at least one more line of \(\Sigma \) , then we have that all of the lines of \( \Sigma \) are contained in a single 3-flat if and only if the arrangement of 3-flats is central. Finally, this article leads to an analogous question for higher dimensional skew affine spaces, where we prove that, for (2, 5)-representations of Sylvester–Gallai designs in \(\mathbb {R}^6\) , the analogous statement does not hold.
      PubDate: 2022-04-20
       
  • Geometry of certain Brill–Noether locus on a very general sextic
           surface and Ulrich bundles

    • Abstract: Abstract Let \(X \subset {\mathbb {P}}^3\) be a very general sextic surface over complex numbers. In this paper, we study certain Brill–Noether problems for moduli of rank 2 stable bundles on X and its relation with rank 2 weakly Ulrich and Ulrich bundles. In particular, we show the non-emptiness of certain Brill–Noether loci and using the geometry of the moduli and the notion of the Petri map on higher dimensional varieties, we prove the existence of components of expected dimension. We also give sufficient conditions for the existence of rank 2 weakly Ulrich bundles \({\mathcal {E}}\) on X with \(c_1({\mathcal {E}}) =5H\) and \(c_2 \ge 91\) and partially address the question of whether these conditions really hold. We then study the possible implication of the existence of an weakly Ulrich bundle in terms of non-emptiness of Brill–Noether loci. Finally, using the existence of rank 2 Ulrich bundles on X we obtain some more non-empty Brill–Noether loci and investigate the possibility of existence of higher rank simple Ulrich bundles on X.
      PubDate: 2022-04-19
       
  • Interval maps where every point is eventually fixed

    • Abstract: Abstract An orbit pattern \(\alpha \) is said to force an orbit pattern \(\beta \) , if any continuous interval map which admits \(\alpha \) also admits \(\beta \) . Among the orbit patterns that force only eventually fixed trajectories, we completely describe the forcing relation, by answering the question: which orbit patterns force which others' We provide two different ways to enlist them completely through formal languages. One is through constructed words and another is by derived words.
      PubDate: 2022-04-19
       
  • Gabriel localizations with applications to flat epimorphisms of rings

    • Abstract: Abstract In this article, new results on the Gabriel localizations are obtained. As an application of them, it is shown that a morphism of rings is a flat epimorphism of rings if and only if it corresponds to a kind of the Gabriel localizations. Using this result, new progress in the understanding of the structure of flat epimorphisms of rings have been made. Especially among them, a set-theoretical gap in the structure of the ring M(R), the maximal flat epimorphic extension of a ring R, has been fixed.
      PubDate: 2022-04-16
       
  • Approximation of nonlinear infinite delay equations in Banach spaces by
           finite delay equations

    • Abstract: Abstract In this paper, we show that the solution of an infinite delay equations in a Banach space given by non-linear semigroups in Fréchet spaces can be approximated by finite delay equations.
      PubDate: 2022-04-16
       
  • Herz-type Hardy spaces with variable exponents associated with operators
           satisfying Davies–Gaffney estimates

    • Abstract: Abstract Let L be a one-to-one operator of type w, with \(w\in [0,\pi /2]\) , satisfying the Davies–Gaffney estimates. For \(\alpha \in (0,\infty )\) and \(p\in (0,\infty )\) and under the condition that \(q(\cdot ): {{{\mathbb {R}}}}^{n}\longrightarrow [1,\infty )\) satisfies the globally log-Hölder continuity condition, we introduce the Herz-type Hardy space with variable exponents associated to L and establish its molecular decomposition. The atomic characterization and maximal function characterizations of the space are proved under the assumption that L is a non-negative self-adjoint operator on \(L^{2}({{{\mathbb {R}}}}^{n})\) whose heat kernels satisfy the Gaussian upper bound estimates. All the results are new even for the constant case.
      PubDate: 2022-04-13
       
  • Transcendence of Hurwitz zeta type series and related questions

    • Abstract: Abstract In this article, we prove the transcendence of special values of some Hurwitz zeta type series. Moreover, we find a linear independence criterion of these series under some mild conditions. We also show that, for any positive integer k and for any \( a, b \in (0, 1) \cap {\mathbb {Q}}\) with \( a+b = 1\) , at least one of the \(\zeta (2k, a) \) or \(\zeta (2k, b) \) must be transcendental.
      PubDate: 2022-03-28
       
  • The universal ordinary deformation ring associated to a real quadratic
           field

    • Abstract: Abstract We study ring structure of the big ordinary Hecke algebra \({{\mathbb {T}}}\) with the modular deformation \(\rho _{{\mathbb {T}}}:{\mathrm {Gal}}({\bar{{{\mathbb {Q}}}}}/{{\mathbb {Q}}})\rightarrow {\mathrm {GL}}_2({{\mathbb {T}}})\) of an induced Artin representation \({\text {Ind}}_F^{{\mathbb {Q}}}\varphi \) from a real quadratic field F with a fundamental unit \(\varepsilon \) , varying a prime \(p\ge 3\) split in F. Under mild assumptions (H0)–(H3) given in the Introduction (on the prime p), we prove that \({{\mathbb {T}}}\) is an integral domain free of even rank \(e>0\) over \(\Lambda \) for the weight Iwasawa algebra \(\Lambda \) étale outside \({\mathrm {Spec}}(\Lambda /p(\langle \varepsilon \rangle -1))\) for \(\langle \varepsilon \rangle {:}{=}(1+T)^{\log _p(\varepsilon )/\log _p(1+p)}\in {{\mathbb {Z}}}_p[[T]]\subset \Lambda \) . If \(p\not \mid e\) , \({{\mathbb {T}}}\) is shown to be a normal noetherian domain of dimension 2 with ramification locus exactly given by \((\langle \varepsilon \rangle -1)\) . Moreover, only under p-distinguishedness (H0), we prove that any modular specialization of weight \(\ge 2\) of \(\rho _{{\mathbb {T}}}\) is indecomposable over the inertia group at p (solving a conjecture of Greenberg without exception).
      PubDate: 2022-03-28
       
  • A weighted Erdős–Ginzburg–Ziv constant for finite abelian
           groups with higher rank

    • Abstract: Abstract Let G be a finite abelian group and \(A\subset \mathbb Z\) . The weighted zero-sum constant \(s_A(G)\) (resp. \(\eta _A(G)\) ) is defined as the least positive integer t, such that every sequence S over G with length \(\ge t\) has an A-weighted zero-sum subsequence of length \(\mathrm{exp}(G)\) (resp. \(\le \!\!\exp (G)\) ). In this article, we investigate the value of \(s_A(G)\) and \(\eta _A(G)\) in the case \(G=\mathbb Z_n\oplus \mathbb Z_n\oplus \cdots \oplus \mathbb Z_n\) , where n is a square-free odd integer and A is the set of integers co-prime to n. We also obtain certain properties about extremal zero-sum free sequences.
      PubDate: 2022-03-22
       
  • An improved result in almost sure local central limit theorem for the
           partial sums

    • Abstract: Abstract The almost sure local central limit theorem is a general result which contains the almost sure global central limit theorem. Let \(\{X_k,k\ge 1\}\) be a sequence of independent and identically distributed random variables. Under a fairly general condition, an universal result in almost sure local limit theorem for the partial sums \(S_k=\sum \nolimits _{i=1}^kX_i\) is established on the weight \(d_k=k^{-1}\exp (\log ^\beta k)\) , \(0\le \beta <1/2\) : $$\begin{aligned}&\underset{n\rightarrow \infty }{\lim } \frac{1}{D_n} \sum \limits _{k=1}^nd_k\frac{\mathrm{I}(a_k\le S_k<b_k)}{\mathrm{P}(a_k\le S_k <b_k)}=1 \ \ \ \mathrm a.s., \end{aligned}$$ where \(D_n=\sum \nolimits _{k=1}^nd_k\) , \(-\infty \le a_k\le 0 \le b_k \le \infty ,\ \ \ k=1,2,\ldots \) . This result extends previous results in the almost sure local central limit theorems from \(d_k=1/k\) to \(d_k=k^{-1}\exp (\log ^\beta k)\) , \(0\le \beta <1/2\) .
      PubDate: 2022-03-22
       
  • Derivation modules for sum and gluing

    • Abstract: Abstract In this paper, we explicitly compute the derivation module of quotients of polynomial rings by ideals formed by the sum or by some other gluing technique. We discuss cases of monomial ideals and binomial ideals separately.
      PubDate: 2022-03-22
       
  • A Furstenberg–Zimmer structure theorem for $$\varvec{\sigma }$$
           σ -finitemeasure spaces

    • Abstract: Abstract We show that an analog of the Furstenberg–Zimmer structure theorem holds for \(\sigma \) -finite non atomic measure spaces and measure preserving strongly recurrent actions of discrete groups. We adapt the idea of Tao in associating Hilbert modules to measure preserving extensions and show that for an isomorphic copy of the \(L^2\) -space, the tools of Zimmer structure theory could be applied.
      PubDate: 2022-03-22
       
  • 5-Rank of ambiguous class groups of quintic Kummer extensions

    • Abstract: Abstract Let \(k \,=\, \mathbb {Q}(\root 5 \of {n},\zeta _5)\) , where n is a positive integer 5-th power-free, whose 5-class group denoted by \(C_{k,5}\) is isomorphic to \(\mathbb {Z}/5\mathbb {Z}\times \mathbb {Z}/5\mathbb {Z}\) . Let \(k_0\,=\,\mathbb {Q}(\zeta _5)\) be the cyclotomic field containing a primitive 5-th root of unity \(\zeta _5\) . Let \(C_{k,5}^{(\sigma )}\) be the group of ambiguous classes under the action of \(\mathrm{Gal}(k/k_0)\) = \(\langle \sigma \rangle \) . The aim of this paper is to determine all naturals n such that the group of ambiguous classes \(C_{k,5}^{(\sigma )}\) has rank 1 or 2.
      PubDate: 2022-03-18
       
 
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